Question

What is the solution of the linear system of equations?
y=3x+2
y=2x+1

http://static.k12.com/calms_media/media/1417000_1417500/1417268/1/6f3a6a31c21c9453be10cf413f3b4b5f8f4bcc23/MS_PA_130905_170074.jpg
A.
(1, 1)

B.
(-1, -1)

C.
(-2, 3)

D.
no solution

Answer 1

plug y = 2x + 1 in another equation we get
2x + 1 = 3x + 2

Answer 2

Now solve this for x andding -(2x + 1) on both side we get
3x + 2 -2x - 1 = 0
this gives you x + 1 = 0
adding -1 on both side we get x = -1

Answer 3

now plug the value of x in either equation to get the value of y

Answer 4

y = 3(-1) + 2 = -3 + 2 = -1

Answer 5

so your solution set is (-1, -1)

Answer 6

thanks

Answer 7

you are most Welcome :)
bye